Entrance Examination
for Engineering Education
Universities of Applied Sciences
INSTRUCTIONS
The examination consists of two parts:
Part 1: Mathematics, logical deduction, Physics and Chemistry, learning prerequisites.
Part 2: English language.
Calculators or any other electronic devices as well as formula books or dictionaries are not allowed.
Part I (Mathematics, logical deduction, Physics and Chemistry, learning prerequisites)
There are 9 problems to be solved. Of questions 7 and 8, choose either alternative A or B.
Problems 5 and 9 are worth 6 point each, other problems are worth 4 point each. Maximum score is
40 points. You need to score at least 10 points in order to be approved for selection.
Write your solutions in the provided space on the answer sheet and write the final answer in the
specified place. Only solutions written on your answer sheets will be checked! Include details
of calculation whenever the solution requires calculations.
Part II (English)
Each multiple choice question is worth 0.5 points and questions 5 and 6 are worth 3 points each.
The maximum score is 8 points. You need to score at least 4 points in order to be approved for
selection.
2/7
Part I (Mathematics, logical deduction, Physics and Chemistry, learning prerequisites)
Problems 1 – 6: Answer to all questions.
1.
A cube can be unfolded in several ways. Below you can see some attempts. One of the
following constructs is impossible. Which one?
a)
b)
c)
d)
e)
2.
The upmost wheel revolves clockwise at a speed of 500 rounds per minute. How many times
will the largest wheel turn in one second?
3.
The weight of a box is measured three times with different contents. Determine the weight of
the box when it is empty.
20
28
38
3/7
4.
Wood logs from forest are transported to a power plant in trucks. In an investigation, ten
truckloads were x-rayed and the contents analyzed. The diagram below shows how the total
mass of each load was divided between wood, water and other redundant ingredients like soil,
snow, ice, etc. The energy content of each load is also presented.
a) Which truckload carried the most redundant ingredients?
b) Calculate the moisture content in wood in the fourth load.
5.
a) Solve x from 2 − (𝑥𝑥 − 32 ) = 5 .
3
2
𝑦𝑦
b) Solve y from 2 = 5 ∙ �3 − 2� .
c) Solve r from
4
5
𝑉𝑉
𝜋𝜋𝑟𝑟 3 = 2 .
d) Solve a from 100mm ∙ 150mm ∙ 50mm + 𝑎𝑎 ∙ 2000mm2 = 1 L . L refers to liters.
4/7
6.
The picture below shows a mechanism with two bars and three joints. Joint A is fixed to the
base but joint C can move horizontally. The distance between points A and B is 1500 mm.
The horizontal separation of the same points is x = 1300 mm.
a) Calculate the angle α and the vertical separation h .
b) If the joint C is moved in such a way that the joint B moves 240 mm downwards, how
much does the joint B move in horizontal direction?
B
h
α
A
C
x
α
0°
10°
20°
30°
40°
50°
60°
70°
80°
90°
100°
110°
120°
130°
140°
150°
160°
170°
180°
sin(α)
0
0,17
0,34
0,50
0,64
0,77
0,87
0,94
0,98
1
0,98
0,94
0,87
0,77
0,64
0,50
0,34
0,17
0
cos(α)
1
0,98
0,94
0,87
0,77
0,64
0,50
0,34
0,17
0
-0,17
-0,34
-0,50
-0,64
-0,77
-0,87
-0,94
-0,98
-1
tan(α)
0
0,18
0,36
0,58
0,84
1,19
1,73
2,75
5,67
-5,67
-2,75
-1,73
-1,19
-0,84
-0,58
-0,36
-0,18
0
5/7
Problems 7 and 8: Answer to either alternative A or B. If you provide two answers, the one with
the lower score will be counted.
7.
A. Physics
A car traveling 10 m/s drives off the edge of a cliff and hits the ground 30 m horizontally
from the cliff. How high is the cliff? Use g = 10 m/s2.
B. Chemistry
Calculate the concentration of perchloric acid HClO 4 in a water solution whose pH is 3,0.
8.
A. Physics
Two batteries and two resistors are connected as shown in the diagram. Calculate the total
power loss in the resistors
+
-
9V
2Ω
+
-
9V
4Ω
B. Chemistry
Analysis shows a compound to contain 52% carbon, 35% oxygen and 13% hydrogen by mass.
Which is a possible molecular formula for the substance?
a) C 2 H 5 OH
b) C 3 H 6 O
c) C 3 H 6 O 2
d) C 3 H 7 OH
Show your work. Use atomic masses m H = 1, m C = 12, m O = 16.
9.
Describe the strengths, weaknesses, opportunities and threats regarding your studies and
graduation. What are the things in your life that affect your possibilities to focus on your
studies, positively and negatively? Please, answer using full sentences (200-250 words).
6/7
Part II (English)
Read the text Smart Logistics Solution for Waste Collection Launched at IFAT on the next page.
Based on the text, answer the questions 1 – 6. First four questions are multiple-choice and you must
choose only one alternative. Your answer to questions 5 and 6 should use full sentences containing
50 – 100 words per question.
1.
With Enevo ONe companies can reduce their expenses in half because
a) the service can bring suboptimal results by saving time and money
b) it is possible to optimize the operations in the whole service chain
c) replacing static routes with dynamic routes requires more planning than before
d) 50% of the costs come from inefficient drivers
2.
The end-customer can benefit from the service because
a) they will generate less waste
b) there will be more expensive, quality-services available for them
c) transparent services are likely to increase overcharging
d) it will be possible to follow and adapt their consumption habits
3.
The customer using the Enevo ONe service will pay
a) monthly for a package that includes the technological equipment and service, and only for
the monitored containers
b) monthly for a package that includes the sensor, data transfer and web service, plus a small
fee per each monitored container
c) an initial fee before starting to use the service and a small monthly fee for each monitored
container
d) only a small monthly subscription fee including the sensor, data transfer and a tablet
computer or a mobile device
4.
Enevo is a company that
a) operates only in the European market
b) believes the internet should play a bigger role in affecting our environmental behavior and
decisions
c) has a CEO who is interested in utilizing modern communication technology in business
d) does not consider ecological values in its operations
5.
Think of as many different target groups for the Enevo ONe service as you can. Who could
utilize the service and why?
6.
Why does Enevo ONe utilize Twitter? What other ways to use the social media related to the
environment/recycling could you think of that might be useful for (some of) the target groups
you mentioned in question 5?
7/7
Smart Logistics Solution for Waste Collection Launched at IFAT
The Finland based, international technology company Enevo will launch its revolutionary Enevo
ONe service for the European market this week at IFAT 2014. The service uses smart sensors and
cloud computing to cut waste collection costs with up to 50%.
Generates the most cost efficient collection plans
Enevo ONe is a comprehensive logistics solution that saves time, money and environment. It uses
wireless sensors to measure and forecast the fill level of waste and recycling containers. The
service combines fill-level forecasts with an extensive set of collection parameters (e.g. traffic
information, vehicle information, road restrictions) in order to calculate the most cost efficient
collection plan. This smart plan is automatically generated and can be accessed by the driver
through a tablet.
From static routes to dynamic routes
Until now waste collection has been done using static routes and schedules that require a lot of
planning and deliver suboptimal results. By turning static collection schedules and routes into
dynamic smart plans, which are based on real data from the field, waste management companies
can avoid driving inefficient routes and save up to 50% in collection costs. These cost savings come
from reduced vehicle wear, work hours and fuel consumption along with the better overall
utilization of the collection fleet. Driving efficient collection routes also benefits the environment
through decreased emissions, less congestion on the roads and prevention of overflowing
containers and litter at collection sites.
Benefits also the environment and the end-customer
The service also creates more transparency and control to the collection chain: there is less room
for foul play and overcharging. The waste producers (e.g. residents, offices and institutions)
receive a higher quality of service and can track how much waste they generate.
No up-front investment required for savings
Introducing the service doesn’t require any upfront investments. Enevo charges only a small
monthly subscription fee per container that is being monitored. This monthly fee covers the entire
system: the sensor, data transfer and access to the Enevo ONe web service that can be accessed
using tablet computers and mobile devices for on the field operations. The customer can unlock
the savings directly after installing the sensors.
Tweeting trashcans showcased at IFAT
To demonstrate the impact of smart city technology, Enevo is showcasing tweeting trashcans.
Sensors around the world will feed their status in real-time to a Twitter account. You can follow
the tweeting trashcans at @trashcanlife. “The internet of things is becoming a daily part of our
life, and with this feature we are able to demonstrate in a simple way how even our trashcans can
be connected to the internet. Internet connected sensors increase the awareness of our
surrounding world and brings to light things that otherwise would remain hidden. This will have an
impact on our environmental behavior and help us make smarter decisions” says Fredrik
Kekäläinen, CEO of Enevo.
Enevo at IFAT 2014
http://www.enevo.com/news/?n=smart-logistics-solution-waste-collection-launched-ifat